Finding the Fourth Proportional to 1,928.78, 2,891.55 and 775.34

Step by Step Solution

1. Step 1: Write the proportion equation
   1,928.78 : 2,891.55 = 775.34 : x
2. Step 2: Convert to fraction form
   1,928.78/2,891.55 = 775.34/x
3. Step 3: Cross multiply
   1,928.78x = 2,891.55 × 775.34
4. Step 4: Simplify right side
   1,928.78x = 2,241,929.31
5. Step 5: Solve for x
   x = 2,241,929.31/1,928.78
6. Step 6: Final answer
   x = 1,162.36